SOLUTION: Find three consecutive integers such that the sum of the second and third is 24 more than one-half the smallest

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Question 955054: Find three consecutive integers such that the sum of the second and third is 24 more than one-half the smallest
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
three consecutive integers: x-1, x, x+1

(x) + (x + 1) = (x - 1)/2 + 24
2x + 1 = x/2 - 1/2 + 24
4x + 2 = x - 1 + 48
3x = 45
x = 15

integers are 14, 15, and 16.